In this book, it is shown that the simple unital $C^*$-algebras arising as inductive limits of sequences of finite direct sums of matrix algebras over $C(X_i)$, where $X_i$ are arbitrary variable trees, are classified by K-theoretical and tracial data. This result generalizes the result of George Elliott of the case of $X_i = [0,1]$. The added generality is useful in the classification of more general inductive limit $C^*$-algebras.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Gewicht
ISBN-13
978-0-8218-0596-1 (9780821805961)
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Schweitzer Klassifikation
Introduction Diagonalization, distinct spectrum and injectivity Berg technique Approximate divisibility Uniqueness theorem Existence theorem and classification.
